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We show that their study reduces to the study of inhomogeneous variable exponent spaces and homogeneous constant exponent spaces. Corollaries include trace space characterizations and Sobolev embeddings.<\/jats:p>","DOI":"10.1002\/mana.201700076","type":"journal-article","created":{"date-parts":[[2017,12,5]],"date-time":"2017-12-05T12:05:10Z","timestamp":1512475510000},"page":"1177-1190","source":"Crossref","is-referenced-by-count":7,"title":["Homogeneous variable exponent Besov and Triebel\u2013Lizorkin spaces"],"prefix":"10.1002","volume":"291","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3794-7831","authenticated-orcid":false,"given":"Alexandre","family":"Almeida","sequence":"first","affiliation":[{"name":"Department of Mathematics CIDMA, University of Aveiro 3810\u2010193 Aveiro Portugal"}]},{"given":"Lars","family":"Diening","sequence":"additional","affiliation":[{"name":"University Bielefeld, Faculty of Mathematics Postfach 10 01 31 33501 Bielefeld Germany"}]},{"given":"Peter","family":"H\u00e4st\u00f6","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics FI\u201020014 University of Turku Finland"},{"name":"Department of Mathematical Sciences FI\u201090014 University of Oulu Finland"}]}],"member":"311","published-online":{"date-parts":[[2017,12,5]]},"reference":[{"key":"e_1_2_8_2_1","doi-asserted-by":"publisher","DOI":"10.1007\/s002050100117"},{"key":"e_1_2_8_3_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.anihpc.2013.07.012"},{"key":"e_1_2_8_4_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2016.01.016"},{"key":"e_1_2_8_5_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfa.2015.11.010"},{"key":"e_1_2_8_6_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfa.2009.09.012"},{"key":"e_1_2_8_7_1","doi-asserted-by":"publisher","DOI":"10.1007\/s13163-013-0135-1"},{"key":"e_1_2_8_8_1","doi-asserted-by":"publisher","DOI":"10.1155\/2006\/610535"},{"key":"e_1_2_8_9_1","doi-asserted-by":"publisher","DOI":"10.3934\/dcdss.2014.7.1"},{"key":"e_1_2_8_10_1","doi-asserted-by":"publisher","DOI":"10.5186\/aasfm.2014.3915"},{"key":"e_1_2_8_11_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-66451-9"},{"key":"e_1_2_8_12_1","first-page":"52","article-title":"Interpolation, embedding, and extension of spaces of functions of variable smoothness","volume":"248","author":"Besov O.","year":"2005","journal-title":"Tr. 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